Question

Which function has the same y-intercept as the
graph below?

Answer 1

3) y + 3 = 4x

Step-by-step explanation:

Please open the attached image. Hope this helps!

Answer 2

3) y +3=4x

Step-by-step explanation:

The y-intercept of a graph is the point where the line crosses the y-axis. This means that the x-value of the y-intercept is always 0.

To find the y-intercept of a function, we can simply set x to 0 and solve for y.

Let's do this for each of the four functions:

1) 25+5y= 5x

If we set x to 0, we get:

25+5y= 5 × 0

25+5y= 0

5y= -25

`y =(-25)/(5)`

y= -5

Therefore, the y-intercept of the first function is (-5,0).

2) 6y+x =18

If we set x to 0, we get:

6y+0 = 18

6y= 18

`y =(18)/(3)`

y= 3

Therefore, the y-intercept of the second function is (0,3).

3) y +3=4x

If we set x to 0, we get:

y +3=4×0

y +3= 0

y = -3

Therefore, the y-intercept of the third function is (0,-3).

4)
`y = (18-6x)/(6)`

If we set x to 0, we get:

`\sf y = (18-6\cdot 0)/(6)`

`\sf y = (18)/(6)`

y = 3

Therefore, the y-intercept of the fourth function is (0,3).

In the given figure, when x = 0, the line intersects the y-axis at (0,-3).

So, the answer is:

3) y +3=4x